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gizmo_the_mogwai [7]
3 years ago
15

Fundamental Counting Principle (L1)

Mathematics
1 answer:
Kamila [148]3 years ago
4 0
Hope you are having a great day!

STEP BY STEP: a+b(x)=6
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I need help on 4 and 5 please !!!!):
Elan Coil [88]
4. angle H is congruent to angle B
5. GH/DJ = AB/DC
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3 years ago
Find the slope and the y-intercept for y=-5x
aleksley [76]
Slope= -5
Y-intercept= 0
4 0
3 years ago
Find the y value for the point that divides the line segment CD into a ratio of 4:1.
7nadin3 [17]

Answer:

We also drew a graph with 2 examples.

Step-by-step explanation:

If we have the line segment  CD, we can divide it by 4: 1 as follows:

If point C has the coordinates (x1, z1) and point D has the coordinates (x2, z2), we calculate coordinate the points Y as follows:

y1 = (x2-x1) · 4/5

y2 = (z2-z1) · 4/5

In this way we have obtained the point Y with the coordinates (y1, y2), and the point Y divides the line segment  CD by 4:1.

We also drew a graph with 2 examples.

3 0
3 years ago
In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th
deff fn [24]

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 64

    The average price is  \= x  = \$ 112

    The population standard deviation is  \sigma  = \$ 16

     The level of significance is  \alpha  = 0.05

    The population mean is  \mu = \$ 108.5

The null hypothesis is  H_o :  \mu = 108.50

The alternative hypothesis is  H_a  :  \mu \ne  108.50

Generally the test statistics is mathematically represented as

       z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }

=>    z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }  

=>    z = 1.75

From the z table  the area under the normal curve to the left corresponding to  1.75  is  

       P( Z >  1.75) = 0.040059

Generally  p-value is mathematically represented as

        p-value = 2 * P( Z >  1.75)

=>     p-value = 2 * 0.040059

=>     p-value = 0.08012

From the values obtained we see that  p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

 

3 0
3 years ago
Classify the following triangle. Check all that apply
lawyer [7]
It is a right, isosceles triangle.
5 0
3 years ago
Read 2 more answers
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